(a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. 2 m 6 kN/m A X -4 m 2m 12 kN 8 kN.m 2m 3 m 10 kN/m

Problem II. Solve the problem using Conjugate Beam Method. The beam shown has a constant El and is supported as shown. Find the following: 300 KN 15 kN/m a. Reaction at A (KN) slim 1.5 kNm b. Reaction at B (kN) B с c. Slope at C in radians 2m 10m d. Displacement at the application of 300kN load m | 3m | 3m t

Q.3) (a) Find the support reactions of the beam shown below. (b) Write the expressions for shear-force (V) and bending-moment (M) for a beam section between points C and D, as a function of x measured from the left-end support. 12 kN 6 kN 4 m 1 kN/m 2 kN/m D 1.5 kN/m 6 m A 1 m 2 m C 30% 3 m 20 kN.m B A

2.0 m ㅏ F 3.0 m q 4.0 m The above freely supported light uniform beam of length 10 m carries a point load F = 45 kN and a uniformly distributed load q = 23 kN m −1 at the positions indicated. Find the shear force V (x) and the bending moment M(x) at the following points along the beam. Give your answers correct to two significant figures. At the point x = 4 m the shear force and bending moment are: V(4) and M(4) = KN kN m. At the point x = : 8 m the shear force and bending moment are: KN = V(8) and M(8) = kN m 1.0 m + -+